67978768 has 120 divisors (see below), whose sum is σ = 162314264. Its totient is φ = 27371520.

The previous prime is 67978763. The next prime is 67978787. The reversal of 67978768 is 86787976.

It can be written as a sum of positive squares in 4 ways, for example, as 13337104 + 54641664 = 3652^2 + 7392^2 .

It is a super-2 number, since 2×67978768² = 9242225797595648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67978763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 931180 + ... + 931252.

Almost surely, 2^67978768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67978768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81157132).

67978768 is an abundant number, since it is smaller than the sum of its proper divisors (94335496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67978768 is a wasteful number, since it uses less digits than its factorization.

67978768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 58.

The square root of 67978768 is about 8244.9237716306. The cubic root of 67978768 is about 408.1230245435.

The spelling of 67978768 in words is "sixty-seven million, nine hundred seventy-eight thousand, seven hundred sixty-eight".